Massey Hill Classical High School
|
|
- Magnus Dustin McBride
- 5 years ago
- Views:
Transcription
1 Massey Hill Classical High School AB Calculus AP Prerequisite Packet To: From: AP Calculus AB Students and Parents Carolyn Davis, AP Calculus Instructor The AP Course: AP Calculus AB is a college level course covering material traditionally taught in the first semester of college calculus. The course is taught in one semester consisting of 90 -minute classes. The Prerequisite Packet: Students need a strong foundation and willingness to be ready for the rigorous work required throughout the term. Completing the prerequisite packet should prepare you for the material to be taught in the course. This packet consists of material studied during Algebra II and Pre- Calculus Honors. Students should anticipate working approimately 0 hours to complete it properly. The packet will be collected on the third day of class and your grade will be determined on neatness, completeness of solutions, and accuracy. In preparation for the AP test students need to begin showing all work with logical steps. Do not list only an answer. Work neatly and in an organized fashion. Calculators: Students enrolled in AP Calculus AB will be using a graphing calculator throughout the course. A graphing calculator is required on the AP test. We will be using a TI 84 Plus and TI 89 in class;, I recommend a TI 84 Plus Silver Edition and/or the TI-89. If you have a TI-83 calculator some of our needed programs can be downloaded onto your calculator. Since the AP test is offered only in May, students taking only the AB course should study for the test independently and attend any after school review sessions or practice test sessions that are offered. It is the student s responsibility to find out when these sessions will be held. I anticipate a motivating and challenging year. Calculus is a stimulating and eciting field of mathematics and I look forward to sharing the ecitement with you. I will be there to help and support you.
2 SKILLS NEEDED FOR CALCULUS I. Algebra: *A. Eponents (operations with integer, fractional, and negative eponents) *B. Factoring (GCF, trinomials, difference of squares and cubes, sum of cubes, grouping) C. Rationalizing (numerator and denominator) *D. Simplifying rational epressions *E. Solving algebraic equations and inequalities (linear, quadratic, higher order using synthetic division, rational, radical, and absolute value equations) F. Simultaneous equations II. Graphing and Functions *A. Lines (intercepts, slopes, write equations using point-slope and slope intercept, parallel, perpendicular, distance and midpoint formulas) B. Conic Sections (circle, parabola, ellipse, and hyperbola) *C. Functions (definition, notation, domain, range, inverse, composition) *D. Basic shapes and transformations of the following functions (absolute value, rational, root, higher order curves, log, ln, eponential, trigonometric. piece-wise, inverse functions) E. Tests for symmetry: odd, even III. Geometry A. Pythagorean Theorem B. Area Formulas (Circle, polygons, surface area of solids) C. Volume formulas D. Similar Triangles * IV. Logarithmic and Eponential Functions *A. Simplify Epressions (Use laws of logarithms and eponents) *B. Solve eponential and logarithmic equations (include ln as well as log) *C. Sketch graphs *D. Inverses * V. Trigonometry **A. Unit Circle (definition of functions, angles in radians and degrees) B. Use of Pythagorean Identities and formulas to simplify epressions and prove identities *C. Solve equations *D. Inverse Trigonometric functions E. Right triangle trigonometry *F. Graphs VI. Limits A. Concept of a limit
3 B. Find limits as approaches a number and as approaches * A solid working foundation in these areas is very important.
4 Calculus Prerequisite Problems Work the following problems on your own paper. Show all necessary work. I. Algebra A. Eponents: ) 3 3 ( 8 yz) ( ) 4 ( yz ) B. Factor Completely: ) y - y 3) ) ) Hint: Factor GCF / first. 6) Hint: Factor out GCF -3 first. C. Rationalize denominator / numerator: 3 7) 8) + + D. Simplify the rational epression: ( + ) 9) 3 ( - ) + 3( + ) ( + ) 4 E. Solve algebraic equations and inequalities 0.. Use synthetic division to help factor the following, state all factors and roots. 0) p() = ) p() = ) Eplain why 3 cannot be a root of f() = 45 + c 3 - d + 5, where c and d are integers. (hint: You can look at the possible rational roots.) Solve: You may use your graphing calculator to check solutions. 3) ( + 3) > 4 4) ) (Factor first) 6) < 7) ) > 0 0) < 4 ) + < 4 F. Solve the system. Solve the system algebraically and then check the solution by graphing each function and using your calculator to find the points of intersection.
5 ) - y + = 0 3) = y y = = y II. Graphing and Functions: A. Linear graphs: Write the equation of the line described below. 4) Passes through the point (, -) and has slope ) Passes through the point (4, - 3) and is perpendicular to 3 + y = 4. 6) Passes through ( -, - ) and is parallel to y = B. Conic Sections: Write the equation in standard form and identify the conic. 7) = 4y + 8y - 3 8) y + 4y + 5 = 0 C. Functions: Find the domain and range of the following. Note: domain restrictions - denominator 0, argument of a log or ln > 0, radicand of even inde must be 0 range restrictions- reasoning, if all else fails, use graphing calculator 9) y = 3-30) y = log( - 3) 3) y = ) y = ) y = ) domain only: y = 35) Given f() below, graph over the domain [ -3, 3], what is the range? if 0 f( ) = if - < 0 if < - Find the composition /inverses as indicated below. Let f() = g() = 4-3 h() = ln w() = - 4
6 36) g - () 37) h - () 38) w - (), for 4 39) f(g()) 40) h(g(f())) 4) Does y = 3-9 have an inverse function? Eplain your answer. Let f() =, g() = -, and h() = 4, find 4) (f o g)() 43) (f o g o h)() 44) Let s () = 4 - and t() =, find the domain and range of (s o t )(). D. Basic Shapes of Curves: Sketch the graphs. You may use your graphing calculator to verify your graph, but you should be able to graph the following by knowledge of the shape of the curve, by plotting a few points, and by your knowledge of transformations. 45) y = 46) y = ln 47) y = 48) y = - 49) y = - 50) y = - 4 5) y = - 5) y = 3 sin ( - ϖ 6 ) 53) 5 if < 0 5 f( ) = if 0, if = 5 E. Even, Odd, Tests for Symmetry: Identify as odd, even, or neither and justify you re answer. To justify your answer you must show substitution using -! It is not enough to simply check a number. Even: f () = f (-) Odd: f (-) = - f () 54) f() = ) f() = ) f( ) = 3 57) f() = sin 58) f() = + 59) f() = ( - ) 60) f() = +
7 6) What type of function (even or odd) results from the product of two even functions? odd functions? IV LOGARITHMIC AND EXPONENTIAL FUNCTIONS A. Simplify Epressions: 3 67) log 4 ( 6 ) 68) 3log3 3 - log3 8+ log 3 ( 7 ) 69) log ( ) 45 70) log 7) log w 7) ln e 73) ln 5 5 w 74) ln e B. Solve equations: 75) log 6 ( + 3) + log 6 ( + 4) = 76) log - log 00 = log 77) 3 + = 5 V TRIGONOMETRY A. Unit Circle: Know the unit circle radian and degree measure. Be prepared for a quiz. 78) State the domain, range and fundamental period for each function? a) y = sin b) y = cos c) y = tan B. Identities: Simplify: 79) (tan )(csc ) - (csc)(tan )(sin) 80) - cos 8) sec - tan 8) Verify : ( - sin )( + tan ) = C. Solve the Equations 83) cos = cos +, 0 ϖ 84) sin() = 3, 0 ϖ
8 85) cos + sin + = 0, 0 π D. Inverse Trig Functions: Note: Sin - = Arcsin ) Arcsin 87) Arcsin 88) Arccos 89) sin Arccos 90. State domain and range for: Arcsin(), Arccos (), Arctan () E.. Graphs: functions. Identify the amplitude, period, horizontal, and vertical shifts of these 9) y = - sin() 9) y = π cos π ( + π ) F. Be able to do the following on your graphing calculator: Be familiar with the CALC commands; value, root, minimum, maimum, intersect. You may need to zoom in on areas of your graph to find the information. Answers should be accurate to 3 decimal places. Sketch graph Given the following function f() = Find all roots. Note: Window min: -0 ma: 0 scale y min: - 00 y ma: 60 scale Find all local maima. 95. Find all local minima. 96. Graph the following two functions and find their points of intersection using the intersect command on your calculator. y = and y =. + 0 Window: min : -0 ma: 0 scale y min: - 0 y- ma: 50 scale 0 VI. Functions and Models
9 97. The graphs of f and g are given. (a) State the values of f(-4) and g(3). (b) For what values of if f()=g()? (c) Estimate the solution of the equation block =-. (d) On what interval is f decreasing? (e) State the domain and range of f. (f) State the domain and range of g. f() each 98. Find the domain of each function. a) f ( ) = 3 b) g( u) = u + 4 u 99. Biologists have noticed that the chirping rate of crickets of a certain species is related to temperature, and the relationship appears to be very nearly linear. A cricket produces 3 chirps per minute at 70 F and 73 chirps per minute at 80 F. (a) Find a linear equation that models the temperature T as a function of the number of chirps per minute N. (b) What is the slope of the graph? What does it represent? (c) If the crickets are chirping at 50 chirps per minute, estimate the temperature. 00. Classify each function as a power function, root function, polynomial (state its degree), rational function, algebraic function, or logarithmic function ( a) f ( ) ( b) g( ) ( c) h( ) ( d) r( ) = = = + = Find f+g, f g, fg, and f/g and state their domains. f g 3 ( ) = +, ( ) = 3
10 0. Find the functions f o g, go f, f o f, and go g and their domains. f ( ) = sin, g( ) = 03 and 04, Determine an appropriate viewing rectangle for the given function and use it to draw each graph. 03. f ( ) = f = 4 ( ) Find all solutions of the equation correct to three decimal places = Under ideal conditions a certain bacteria population is known to double every three hours. Suppose that there are initially 00 bacteria. (a) What is the size of the population after 5 hours? (b) What is the size of the population after t hours. (c) Estimate the size of the population after 0 hours. (d) Graph the population function and estimate the time for the population to reach 50,000. For #07-09, find a formula for the inverse of the function. 07. f ( ) = f ( ) = e y = ln(+3) For #35-36, find the eact value of each epression (non-calculator). 0. (a) log 64 ( b ) log6 36. (a) log0.5 + log080 ( b) log50 + log5 0 3log5. Epress the given quantity as a single logarithm. ln 4 ln
11 3. The graph shown gives a salesman s distance from his home as a function of time on a certain day. Describe in words what the graph indicates about his travels on this day.
Unit 10 Prerequisites for Next Year (Calculus)
Unit 0 Prerequisites for Net Year (Calculus) The following Study Guide is the required INDEPENDENT review for you to work through for your final unit. You WILL have a test that covers this material after
More informationWheeler High School AP Calculus AB first day of school, August 7, Honors Calculus
Wheeler High School To: From: Re: Honors Calculus and AP Calculus AB Students Mrs. Barry, Mrs. Massey, Mrs. Walls, and Mr. Furstein - Calculus Instructors Summer work AP Calculus AB and Honors Calculus
More informationWheeler High School. The packets are due to your instructor on your first day of class.
Wheeler High School To: Honors Calculus and AP Calculus AB Students From: Mrs. Barry, Mrs. Massey, Mrs. Walls, and Mr. Furstein - Calculus Instructors Re: Summer work Honors Calculus and AP Calculus AB
More informationHarrison High School AB Calculus AP Prerequisite Packet
Harrison High School AB Calculus AP Prerequisite Packet Optional help session for prerequisite material to be held at Harrison High School in Room 409 from 9:00 am until noon on Friday, August. To: From:
More informationAP CALCULUS AB. Summer Assignment. Page 1
AP CALCULUS AB Summer Assignment Page 1 Welcome to AP Calculus AB. This will be the toughest class yet in your mathematical careers but the benefit you will receive by having this experience in high school
More informationThe American School of Marrakesh. AP Calculus AB Summer Preparation Packet
The American School of Marrakesh AP Calculus AB Summer Preparation Packet Summer 2016 SKILLS NEEDED FOR CALCULUS I. Algebra: *A. Exponents (operations with integer, fractional, and negative exponents)
More informationAP Calculus AB Summer Assignment 2018
AP Calculus AB Summer Assignment 018 Name: Date Submitted: Welcome to AP Calculus AB. This will be the toughest class yet in your mathematical careers, but the benefit you will receive by having this eperience
More informationCalculus Summer Packet
Calculus Summer Packet Congratulations on reaching this level of mathematics in high school. I know some or all of you are bummed out about having to do a summer math packet; but keep this in mind: we
More informationName Date. Show all work! Exact answers only unless the problem asks for an approximation.
Advanced Calculus & AP Calculus AB Summer Assignment Name Date Show all work! Eact answers only unless the problem asks for an approimation. These are important topics from previous courses that you must
More informationCALCULUS BASIC SUMMER REVIEW
NAME CALCULUS BASIC SUMMER REVIEW Slope of a non vertical line: rise y y y m run Point Slope Equation: y y m( ) The slope is m and a point on your line is, ). ( y Slope-Intercept Equation: y m b slope=
More informationSummer Review Packet for Students Entering AP Calculus BC. Complex Fractions
Summer Review Packet for Students Entering AP Calculus BC Comple Fractions When simplifying comple fractions, multiply by a fraction equal to 1 which has a numerator and denominator composed of the common
More informationAP Calculus AB SUMMER ASSIGNMENT. Dear future Calculus AB student
AP Calculus AB SUMMER ASSIGNMENT Dear future Calculus AB student We are ecited to work with you net year in Calculus AB. In order to help you be prepared for this class, please complete the summer assignment.
More informationSummer Assignment for AP Calculus AB
This assignment is a review of Pre-calculus and Algebraic concepts that you need to be familiar with in order to make a smooth transition into AP Calculus AB. It will be due when you return to school on
More informationAP Calculus AB Summer Assignment
Name: AP Calculus AB Summer Assignment Due Date: The beginning of class on the last class day of the first week of school. The purpose of this assignment is to have you practice the mathematical skills
More informationSummer AP Assignment Coversheet Falls Church High School
Summer AP Assignment Coversheet Falls Church High School Course: AP Calculus AB Teacher Name/s: Veronica Moldoveanu, Ethan Batterman Assignment Title: AP Calculus AB Summer Packet Assignment Summary/Purpose:
More informationSummer Packet Honors PreCalculus
Summer Packet Honors PreCalculus Honors Pre-Calculus is a demanding course that relies heavily upon a student s algebra, geometry, and trigonometry skills. You are epected to know these topics before entering
More informationSummer AP Assignment Coversheet Falls Church High School
Summer AP Assignment Coversheet Falls Church High School Course: AP Calculus AB Teacher Name/s: Veronica Moldoveanu, Ethan Batterman Assignment Title: AP Calculus AB Summer Packet Assignment Summary/Purpose:
More informationAP CALCULUS AB,...) of Topical Understandings ~
Name: Precalculus Teacher: AP CALCULUS AB ~ (Σer) ( Force Distance) and ( L, L,...) of Topical Understandings ~ As instructors of AP Calculus, we have etremely high epectations of students taking our courses.
More informationWest Essex Regional School District. AP Calculus AB. Summer Packet
West Esse Regional School District AP Calculus AB Summer Packet 05-06 Calculus AB Calculus AB covers the equivalent of a one semester college calculus course. Our focus will be on differential and integral
More informationAP CALCULUS. DUE THE FIRST DAY OF SCHOOL! This work will count as part of your first quarter grade.
Celina High School Math Department Summer Review Packet AP CALCULUS DUE THE FIRST DAY OF SCHOOL! This work will count as part of your first quarter grade. The problems in this packet are designed to help
More informationCalculus 1 (AP, Honors, Academic) Summer Assignment 2018
Calculus (AP, Honors, Academic) Summer Assignment 08 The summer assignments for Calculus will reinforce some necessary Algebra and Precalculus skills. In order to be successful in Calculus, you must have
More information* Circle these problems: 23-27, 37, 40-44, 48, No Calculator!
AdvPreCal 1 st Semester Final Eam Review Name 1. Solve using interval notation: 7 8 * Circle these problems: -7, 7, 0-, 8, 6-66 No Calculator!. Solve and graph: 0. Solve using a number line and leave answer
More informationWelcome to Advanced Placement Calculus!! Summer Math
Welcome to Advanced Placement Calculus!! Summer Math - 017 As Advanced placement students, your first assignment for the 017-018 school year is to come to class the very first day in top mathematical form.
More informationAP Calculus Summer Packet
AP Calculus Summer Packet Writing The Equation Of A Line Example: Find the equation of a line that passes through ( 1, 2) and (5, 7). ü Things to remember: Slope formula, point-slope form, slopeintercept
More informationFox Lane High School Department of Mathematics
Fo Lane High School Department of Mathematics June 08 Hello Future AP Calculus AB Student! This is the summer assignment for all students taking AP Calculus AB net school year. It contains a set of problems
More informationNFC ACADEMY COURSE OVERVIEW
NFC ACADEMY COURSE OVERVIEW Algebra II Honors is a full-year, high school math course intended for the student who has successfully completed the prerequisite course Algebra I. This course focuses on algebraic
More informationAP CALCULUS AB - Name: Summer Work requirement due on the first day of class
AP CALCULUS AB - Name: Summer Work For students to successfully complete the objectives of the AP Calculus curriculum, the student must demonstrate a high level of independence, capability, dedication,
More informationWith topics from Algebra and Pre-Calculus to
With topics from Algebra and Pre-Calculus to get you ready to the AP! (Key contains solved problems) Note: The purpose of this packet is to give you a review of basic skills. You are asked not to use the
More informationSophomore Year: Algebra II Textbook: Algebra II, Common Core Edition Larson, Boswell, Kanold, Stiff Holt McDougal 2012
Sophomore Year: Algebra II Tetbook: Algebra II, Common Core Edition Larson, Boswell, Kanold, Stiff Holt McDougal 2012 Course Description: The purpose of this course is to give students a strong foundation
More informationDirections: Please read questions carefully. It is recommended that you do the Short Answer Section prior to doing the Multiple Choice.
AP Calculus AB SUMMER ASSIGNMENT Multiple Choice Section Directions: Please read questions carefully It is recommended that you do the Short Answer Section prior to doing the Multiple Choice Show all work
More informationAP Calculus AB Summer Assignment
AP Calculus AB 07-08 Summer Assignment Welcome to AP Calculus AB! You are epected to complete the attached homework assignment during the summer. This is because of class time constraints and the amount
More informationMath 1152: Precalculus Algebra Section 4 Time: TR 14:30 16:20 Place: L305 Instructor: J. Jang Office: B019g Phone:
Math 115: Precalculus Algebra Section 4 Time: TR 14:30 16:0 Place: L305 Instructor: J. Jang Office: B019g Phone: 33 5786 Email: jjang@langara.bc.ca Office hours: TBA Prerequisite: C- in Principles of Math
More informationMath Analysis/Honors Math Analysis Summer Assignment
Math Analysis/Honors Math Analysis Summer Assignment To be successful in Math Analysis or Honors Math Analysis, a full understanding of the topics listed below is required prior to the school year. To
More informationSANDERSON HIGH SCHOOL AP CALCULUS AB/BC SUMMER REVIEW PACKET
SANDERSON HIGH SCHOOL AP CALCULUS AB/BC SUMMER REVIEW PACKET 017-018 Name: 1. This packet is to be handed in on Monday August 8, 017.. All work must be shown on separate paper attached to the packet. 3.
More informationAP Calculus AB Summer Assignment. Due Date: First day of school.
AP Calculus AB Summer Assignment Name: Due Date: First day of school. The purpose of this assignment is to have you practice the mathematical skills necessary to be successful in Calculus AB. All of the
More informationCurriculum Catalog
2017-2018 Curriculum Catalog 2017 Glynlyon, Inc. Table of Contents ALGEBRA II COURSE OVERVIEW... 1 UNIT 1: SET, STRUCTURE, AND FUNCTION... 1 UNIT 2: NUMBERS, SENTENCES, AND PROBLEMS... 2 UNIT 3: LINEAR
More informationCollege Algebra & Trig w Apps
WTCS Repository 10-804-197 College Algebra & Trig w Apps Course Outcome Summary Course Information Description Total Credits 5.00 This course covers those skills needed for success in Calculus and many
More informationTroy High School AP Calculus Summer Packet
Troy High School AP Calculus Summer Packet As instructors of AP Calculus, we have etremely high epectations of students taking our courses. We epect a certain level of independence to be demonstrated by
More informationCalculus Summer TUTORIAL
Calculus Summer TUTORIAL The purpose of this tutorial is to have you practice the mathematical skills necessary to be successful in Calculus. All of the skills covered in this tutorial are from Pre-Calculus,
More informationPre-Calculus MATH 119 Fall Section 1.1. Section objectives. Section 1.3. Section objectives. Section A.10. Section objectives
Pre-Calculus MATH 119 Fall 2013 Learning Objectives Section 1.1 1. Use the Distance Formula 2. Use the Midpoint Formula 4. Graph Equations Using a Graphing Utility 5. Use a Graphing Utility to Create Tables
More information* A graphing calculator is highly recommended for this class!!!
AP Calculus AB Summer Packet 08-09 Ms. Febus - García marlene_febus@gwinnett.k.ga.us This packet includes a sampling of problems that students entering AP Calculus AB should be able to answer. The questions
More informationAP Calculus AB Summer Review Packet
AP Calculus AB Summer Review Packet 016-017 Mr. Le jtle1@gmail.com Leuzinger High School Rm. G-0 The following packet is designed to help you review topics that are important to your SUCCESS in AP Calculus.
More informationCheck boxes of Edited Copy of Sp Topics (was 261-pilot)
Check boxes of Edited Copy of 10023 Sp 11 253 Topics (was 261-pilot) Intermediate Algebra (2011), 3rd Ed. [open all close all] R-Review of Basic Algebraic Concepts Section R.2 Ordering integers Plotting
More informationCALCULUS AB/BC SUMMER REVIEW PACKET
Name CALCULUS AB/BC SUMMER REVIEW PACKET Welcome to AP Calculus! Calculus is a branch of advanced mathematics that deals with problems that cannot be solved with ordinary algebra such as rate problems
More informationLyman Memorial High School. CP Pre-Calculus Prerequisite Packet. Name:
Lyman Memorial High School CP Pre-Calculus Prerequisite Packet 018 Name: Dear Pre-Calculus Student, Within this packet you will find mathematical concepts and skills covered in Algebra I, II and Geometry.
More informationHomework. Basic properties of real numbers. Adding, subtracting, multiplying and dividing real numbers. Solve one step inequalities with integers.
Morgan County School District Re-3 A.P. Calculus August What is the language of algebra? Graphing real numbers. Comparing and ordering real numbers. Finding absolute value. September How do you solve one
More informationCourse Outline and Objectives. MA 1453 Precalculus with Graphing Calculators
Effective Fall 2011 Course Outline and Objectives MA 1453 Precalculus with Graphing Calculators TEXT: Precalculus, 5 th Edition, by Faires and DeFranza ISBN 978-0-8400-6862-0 NOTE: A graphing calculator
More informationC. Finding roots of trinomials: 1st Example: x 2 5x = 14 x 2 5x 14 = 0 (x 7)(x + 2) = 0 Answer: x = 7 or x = -2
AP Calculus Students: Welcome to AP Calculus. Class begins in approimately - months. In this packet, you will find numerous topics that were covered in your Algebra and Pre-Calculus courses. These are
More informationCurriculum Catalog
2017-2018 Curriculum Catalog 2017 Glynlyon, Inc. Table of Contents PRE-CALCULUS COURSE OVERVIEW...1 UNIT 1: RELATIONS AND FUNCTIONS... 1 UNIT 2: FUNCTIONS... 1 UNIT 3: TRIGONOMETRIC FUNCTIONS... 2 UNIT
More informationHonors Pre-Calculus Summer Work
Honors Pre-Calculus Summer Work Attached you will find a variety of review work based on the prerequisites needed for the Honors Pre-Calculus curriculum. The problems assigned should be the minimum you
More informationTo: all students going into AP Calculus AB From: PUHSD AP Calculus teachers
To: all students going into AP Calculus AB From: PUHSD AP Calculus teachers Going into AP Calculus, there are certain skills that you have been taught to you over the previous years that we assume you
More informationAP CALCULUS BC SUMMER ASSIGNMENT
AP CALCULUS BC SUMMER ASSIGNMENT Dear BC Calculus Student, Congratulations on your wisdom in taking the BC course! We know you will find it rewarding and a great way to spend your junior/senior year. This
More informationCURRICULUM GUIDE. Honors Algebra II / Trigonometry
CURRICULUM GUIDE Honors Algebra II / Trigonometry The Honors course is fast-paced, incorporating the topics of Algebra II/ Trigonometry plus some topics of the pre-calculus course. More emphasis is placed
More informationSANDY CREEK HIGH SCHOOL
SANDY CREEK HIGH SCHOOL SUMMER REVIEW PACKET For students entering A.P. CALCULUS AB I epect everyone to check the Google classroom site and your school emails at least once every two weeks. You should
More informationPolynomials and Rational Functions. Quadratic Equations and Inequalities. Remainder and Factor Theorems. Rational Root Theorem
Pre-Calculus Pre-AP Scope and Sequence - Year at a Glance Pre-Calculus Pre-AP - First Semester Pre-calculus with Limits; Larson/Hostetler Three Weeks 1 st 3 weeks 2 nd 3 weeks 3 rd 3 weeks 4 th 3 weeks
More informationAP CALCULUS AB - Name: Summer Work requirement due on the first day of class SHOW YOUR BEST WORK. Requirements
AP CALCULUS AB - Name: Summer Work For students to successfully complete the objectives of the AP Calculus curriculum, the student must demonstrate a high level of independence, capability, dedication,
More informationWAYNESBORO AREA SCHOOL DISTRICT CURRICULUM PRE-CALCULUS (June 2014)
WAYNESBORO AREA SCHOOL DISTRICT CURRICULUM PRE-CALCULUS (June 2014) COURSE NAME: Pre-Calculus UNIT: Chapter 1 NO. OF DAYS: KEY LEARNING (S): UNIT ESSENTIAL QUESTIONS: What methods are used to solve equations
More informationSummer Assignment Directions:
Name: Block: Date: AP Calculus AB Summer Assignment Mr. Carter Welcome to AP Calculus AB! This fall will begin an exciting, challenging journey through the world of mathematics. You will challenge yourself
More informationAP CALCULUS AB - SUMMER ASSIGNMENT 2018
Name AP CALCULUS AB - SUMMER ASSIGNMENT 08 This packet is designed to help you review and build upon some of the important mathematical concepts and skills that you have learned in your previous mathematics
More informationA.P. Calculus Summer Packet
A.P. Calculus Summer Packet Going into AP calculus, there are certain skills that have been taught to you over the previous years that we assume you have. If you do not have these skills, you will find
More informationSummer 2017 Review For Students Entering AP Calculus AB/BC
Summer 2017 Review For Students Entering AP Calculus AB/BC Holy Name High School AP Calculus Summer Homework 1 A.M.D.G. AP Calculus AB Summer Review Packet Holy Name High School Welcome to AP Calculus
More informationNORTH ALLEGHENY SCHOOL DISTRICT MATHEMATICS DEPARTMENT HONORS PRE-CALCULUS SYLLABUS COURSE NUMBER: 3421
NORTH ALLEGHENY SCHOOL DISTRICT MATHEMATICS DEPARTMENT HONORS PRE-CALCULUS SYLLABUS COURSE NUMBER: 3421 Units of Credit: 1.0 credits, honors weight Course Length: 184 days (full year) Course Overview This
More informationProblems with an # after the number are the only ones that a calculator is required for in the solving process.
Instructions: Make sure all problems are numbered in order. All work is in pencil, and is shown completely. Graphs are drawn out by hand. If you use your calculator for some steps, intermediate work should
More informationAvon High School Name AP Calculus AB Summer Review Packet Score Period
Avon High School Name AP Calculus AB Summer Review Packet Score Period f 4, find:.) If a.) f 4 f 4 b.) Topic A: Functions f c.) f h f h 4 V r r a.) V 4.) If, find: b.) V r V r c.) V r V r.) If f and g
More informationSANDY CREEK HIGH SCHOOL
SANDY CREEK HIGH SCHOOL SUMMER REVIEW PACKET For students entering A.P. CALCULUS BC I epect everyone to check the Google classroom site and your school emails at least once every two weeks. You will also
More informationHonors Calculus Summer Preparation 2018
Honors Calculus Summer Preparation 08 Name: ARCHBISHOP CURLEY HIGH SCHOOL Honors Calculus Summer Preparation 08 Honors Calculus Summer Work and List of Topical Understandings In order to be a successful
More informationAP Calculus BC Summer Review
AP Calculus BC 07-08 Summer Review Due September, 07 Name: All students entering AP Calculus BC are epected to be proficient in Pre-Calculus skills. To enhance your chances for success in this class, it
More informationCheck boxes of Edited Copy of Sp Topics (was 217-pilot)
Check boxes of Edited Copy of 10024 Sp 11 213 Topics (was 217-pilot) College Algebra, 9th Ed. [open all close all] R-Basic Algebra Operations Section R.1 Integers and rational numbers Rational and irrational
More informationALGEBRA & TRIGONOMETRY FOR CALCULUS MATH 1340
ALGEBRA & TRIGONOMETRY FOR CALCULUS Course Description: MATH 1340 A combined algebra and trigonometry course for science and engineering students planning to enroll in Calculus I, MATH 1950. Topics include:
More informationPre-Calculus (#9400)
AASD MATHEMATICS CURRICULUM Pre-Calculus (#9400) Description This course is a foundation course for college-level mathematics classes. The topics covered include functions and their graphs; the circular
More informationCALCULUS AB/BC SUMMER REVIEW PACKET (Answers)
Name CALCULUS AB/BC SUMMER REVIEW PACKET (Answers) I. Simplify. Identify the zeros, vertical asymptotes, horizontal asymptotes, holes and sketch each rational function. Show the work that leads to your
More informationCalculus w/applications Prerequisite Packet Paint Branch High School Math Department
Updated 6/014 The problems in this packet are designed to help you review topics from previous math courses that are important to your success in Calculus with Applications. It is important that you take
More informationSummer Packet Greetings Future AP Calculus Scholar,
Summer Packet 2017 Greetings Future AP Calculus Scholar, I am excited about the work that we will do together during the 2016-17 school year. I do not yet know what your math capability is, but I can assure
More informationCurriculum Map: Mathematics
Curriculum Map: Mathematics Course: Honors Algebra II Grade(s): 9/10 Unit 1: Expressions, Equations, and Inequalities In this unit, students review basics concepts and skills of algebra studied in previous
More informationHello Future Calculus Level One Student,
Hello Future Calculus Level One Student, This assignment must be completed and handed in on the first day of class. This assignment will serve as the main review for a test on this material. The test will
More informationNON-AP CALCULUS SUMMER PACKET
NON-AP CALCULUS SUMMER PACKET These problems are to be completed to the best of your ability by the first day of school. You will be given the opportunity to ask questions about problems you found difficult
More informationSummer Packet A Math Refresher For Students Entering IB Mathematics SL
Summer Packet A Math Refresher For Students Entering IB Mathematics SL Name: PRECALCULUS SUMMER PACKET Directions: This packet is required if you are registered for Precalculus for the upcoming school
More informationCourse Catalog. Pre-calculus Glynlyon, Inc.
Course Catalog Pre-calculus 2016 Glynlyon, Inc. Table of Contents COURSE OVERVIEW... 1 UNIT 1: RELATIONS AND FUNCTIONS... 1 UNIT 2: FUNCTIONS... 1 UNIT 3: TRIGONOMETRIC FUNCTIONS... 2 UNIT 4: CIRCULAR
More informationIB Mathematics HL 1/AP Calculus AB Summer Packet
IB Mathematics HL /AP Calculus AB Summer Packet There are certain skills that have been taught to you over the previous years that are essential towards your success in IB HL /AP Calculus. If you do not
More informationPRE-CALCULUS FORM IV. Textbook: Precalculus with Limits, A Graphing Approach. 4 th Edition, 2005, Larson, Hostetler & Edwards, Cengage Learning.
PRE-CALCULUS FORM IV Tetbook: Precalculus with Limits, A Graphing Approach. 4 th Edition, 2005, Larson, Hostetler & Edwards, Cengage Learning. Course Description: This course is designed to prepare students
More informationNumbers Content Points. Reference sheet (1 pt. each) 1-7 Linear Equations (1 pt. each) / Factoring (2 pt. each) /28
Summer Packet 2015 Your summer packet will be a major test grade for the first nine weeks. It is due the first day of school. You must show all necessary solutions. You will be tested on ALL material;
More informationMath 121: Calculus 1 - Winter 2012/2013 Review of Precalculus Concepts
Introduction Math 11: Calculus 1 - Winter 01/01 Review of Precalculus Concepts Welcome to Math 11 - Calculus 1, Winter 01/01! This problems in this packet are designed to help you review the topics from
More informationAP Calculus AB Mrs. Mills Carlmont High School
AP Calculus AB 015-016 Mrs. Mills Carlmont High School AP CALCULUS AB SUMMER ASSIGNMENT NAME: READ THE FOLLOWING DIRECTIONS CAREFULLY! Read through the notes & eamples for each page and then solve all
More informationCourse Outcome Summary
Course Information: Algebra 2 Description: Instruction Level: 10-12 Total Credits: 2.0 Prerequisites: Textbooks: Course Topics for this course include a review of Algebra 1 topics, solving equations, solving
More informationAP Calculus BC Summer Assignment School Year
AP Calculus BC Summer Assignment School Year 018-019 Objective of the summer assignment: i. To build on students readiness in foundational skills and knowledge ii. To review prerequisites topics for the
More informationSecondary Honors Algebra II Objectives
Secondary Honors Algebra II Objectives Chapter 1 Equations and Inequalities Students will learn to evaluate and simplify numerical and algebraic expressions, to solve linear and absolute value equations
More informationMonroe Township High School Mathematics Department
To: AP Calculus AB Re: Summer Project 017 Date: June 017 Monroe Township High School Mathematics Department To help begin your study of Calculus, you will be required to complete a review project this
More informationAP Calculus AB Summer Math Packet
Name Date Section AP Calculus AB Summer Math Packet This assignment is to be done at you leisure during the summer. It is meant to help you practice mathematical skills necessary to be successful in Calculus
More informationProblems with an # after the number are the only ones that a calculator is required for in the solving process.
Instructions: Make sure all problems are numbered in order. (Level : If the problem had an *please skip that number) All work is in pencil, and is shown completely. Graphs are drawn out by hand. If you
More informationAP Calculus AB Summer Assignment
AP Calculus AB Summer Assignment Name: When you come back to school, you will be epected to have attempted every problem. These skills are all different tools that you will pull out of your toolbo this
More information( ) - 4(x -3) ( ) 3 (2x -3) - (2x +12) ( x -1) 2 x -1) 2 (3x -1) - 2(x -1) Section 1: Algebra Review. Welcome to AP Calculus!
Welcome to AP Calculus! Successful Calculus students must have a strong foundation in algebra and trigonometry. The following packet was designed to help you review your algebra skills in preparation for
More informationWAYNESBORO AREA SCHOOL DISTRICT CURRICULUM ALGEBRA II
UNIT: Review of Basic Algebra Skills as Needed SR1 and any Supplemental Materials UNIT : What skills from Algebra I are used in Algebra II? Review Algebra I Skills as Needed SR1 and any additional resources
More informationEASTERN ARIZONA COLLEGE Precalculus
EASTERN ARIZONA COLLEGE Precalculus Course Design 2015-2016 Course Information Division Mathematics Course Number MAT 187 Title Precalculus Credits 5 Developed by Adam Stinchcombe Lecture/Lab Ratio 5 Lecture/0
More informationMath Academy I Fall Study Guide. CHAPTER ONE: FUNDAMENTALS Due Thursday, December 8
Name: Math Academy I Fall Study Guide CHAPTER ONE: FUNDAMENTALS Due Thursday, December 8 1-A Terminology natural integer rational real complex irrational imaginary term expression argument monomial degree
More informationPreCalculus. Curriculum (447 topics additional topics)
PreCalculus This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular needs.
More informationWest Potomac High School 6500 Quander Road Alexandria, VA 22307
West Potomac High School 6500 Quander Road Aleandria, VA 307 Dear AP Calculus BC Student, Welcome to AP Calculus! This course is primarily concerned with developing your understanding of the concepts of
More informationAlbertson AP Calculus AB AP CALCULUS AB SUMMER PACKET DUE DATE: The beginning of class on the last class day of the first week of school.
Albertson AP Calculus AB Name AP CALCULUS AB SUMMER PACKET 2015 DUE DATE: The beginning of class on the last class day of the first week of school. This assignment is to be done at you leisure during the
More informationMath 121: Calculus 1 - Fall 2012/2013 Review of Precalculus Concepts
Introduction Math 11: Calculus 1 - Fall 01/01 Review of Precalculus Concepts Welcome to Math 11 - Calculus 1, Fall 01/01! This problems in this packet are designed to help you review the topics from Algebra
More informationSummer Work for students entering PreCalculus
Summer Work for students entering PreCalculus Name Directions: The following packet represent a review of topics you learned in Algebra 1, Geometry, and Algebra 2. Complete your summer packet on separate
More information